Why is square a regular polygon?

1 Answer
Mar 20, 2016

A square is equilateral and equiangular.

Explanation:

A regular polygon is both equilateral (all sides are the same length) and equiangular (all angles are the same measure). A square perfectly matches this description. A square's four sides must all be the same length and a square must have four angles measuring 90˚ by definition.

For example, take the picture below. This square has four angles measuring 90˚, as do all squares by definition. And all the sides measure 5 cm. This makes it both equilateral and equiangular. Therefore, it is a regular polygon.
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